Hard Mathematics Polynomials Class 10 Level 25

यदि \(x=\sqrt{3}+\sqrt{2}\) है तो \(x^2-5\) का मान क्या है?

If \(x=\sqrt{3}+\sqrt{2}\), what is the value of \(x^2-5\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{6}\)

Step 1

Concept

\(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\). Therefore \(x^2-5=2\sqrt{6}\).

Step 2

Why this answer is correct

The correct answer is A. \(2\sqrt{6}\). \(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\). Therefore \(x^2-5=2\sqrt{6}\).

Step 3

Exam Tip

\(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\) है। इसलिए \(x^2-5=2\sqrt{6}\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(x=\sqrt{3}+\sqrt{2}\) है तो \(x^2-5\) का मान क्या है? / If \(x=\sqrt{3}+\sqrt{2}\), what is the value of \(x^2-5\)?

Correct Answer: A. \(2\sqrt{6}\). Explanation: \(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\) है। इसलिए \(x^2-5=2\sqrt{6}\) है। / \(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\). Therefore \(x^2-5=2\sqrt{6}\).

Which concept should I revise for this Mathematics MCQ?

\(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\). Therefore \(x^2-5=2\sqrt{6}\).

What exam hint can help solve this Mathematics question?

\(x^2=3+2+2\sqrt{6}=5+2\sqrt{6}\) है। इसलिए \(x^2-5=2\sqrt{6}\) है।

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